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Finding the Fourth Proportional to 386,287.86, 533,101.86 and 216,522

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Solution

The fourth proportional to 386,287.86, 533,101.86 and 216,522 is: 298,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,287.86 : 533,101.86 = 216,522 : x
  2. Step 2: Convert to fraction form
    386,287.86/533,101.86 = 216,522/x
  3. Step 3: Cross multiply
    386,287.86x = 533,101.86 × 216,522
  4. Step 4: Simplify right side
    386,287.86x = 115,428,280,930.92
  5. Step 5: Solve for x
    x = 115,428,280,930.92/386,287.86
  6. Step 6: Final answer
    x = 298,814.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.